Geometry Seminar

 

University of Tor Vergata, Department of Mathematics

14^th of November 2023, 14:30-16:00, room “D’Antoni”

 

 

 

 

 

 

 

Vector Bundles, Parallelizable manifolds, fundamental groups.

 

 

Ernesto Mistretta

Università di Padova

 

 

We will show how some basic questions about semiampleness of vector
bundles can be interpreted in a geometric way.
In particular we will distinguish between two non equivalent
definitions of semiampless appearing in the literature, and give a
geometric interpretation considering the holomorphic cotangent bundle.
We will generalize these examples obtaining a biholomorphic
characterisation of abelian varieties and their quotients (called
hyperelliptic varieties).

In order to achieve a similar biholomorphic characterisation of
parallelizable compact complex manifolds and their quotients, we will
consider another basic question about semiample vector bundles.
Time permitting, we will conclude with a question on fundamental
groups of manifolds with semiample cotangent bundle.
Part of this work is in collaboration with Francesco Esposito.

 

 

 

 

 

 

 

 

 

 

 

 

This talk is part of the activity of the MIUR Excellence Department Projects MathMod@TOV, and the PRIN 2022 Moduli Spaces and Birational Geometry